Child benefit withdrawal will make it better to work less for families with over seven children

And come 2076, that will be the case for every family in the nation.

The child tax credit withdrawal, taking effect on Monday, will lead to marginal tax rates of over 100 per cent on families with more than eight children earning between £50,000 and £60,000.

The IFS explains how the marginal rates are calculated:

Affected taxpayers will pay back one per cent of their family’s Child Benefit for every £100 by which taxable income exceeds £50,000. One per cent of Child Benefit is £10.56 per year for a 1-child family, and an additional £6.97 per child for larger families. Hence the marginal tax rate between £50,000 and £60,000 is increased by about 11 percentage points for the first child and by an additional 7 percentage points for each subsequent one. So, for example, while about 320,000 people will find that their marginal income tax rate increases to more than 50%, about 40,000 of them - those with three or more children - will find that it jumps to at least 65%.

They offer a chart with the rate calculated up to four children:

By seven children, the marginal rate rises to 99.35 per cent, and by eight, it breaks 100 per cent (106.32 per cent, to be exact). This means that any individual with a family of eight kids earning between £50,000 and £60,000 would be better off if they reduced their salary back down to £50,000. In fact, for that individual, they would have to earn £61,105 before their post-tax income was the same as it was at £50,000.

It's unclear whether any families actually exist matching that criterion - rather wonderfully, my back-of-the-envelope maths (which assumes that the exponential decrease in the number of families of each size continues: e.g., there are 1/8th the number of families with three or more kids as there are with two or more, so I'm assuming that there are correspondingly 1/8th the number of families with four or more as there are with three or more, and so on) suggests that there may be exactly one – but even if there are none at the moment, there's no reason why there won't be one in the future. Families with eight children do, after all, exist.

In fact, as time goes on, this problem will get worse. The IFS points out that child benefit is uprated with inflation, while tax bands aren't. Currently, each extra child after the first increases your "marginal tax rate" by around seven per cent, but suppose child benefit is uprated by two per cent a year. In that case, the marginal tax would exceed one hundred per cent for families with seven children next year; for six children in the year 2020; for five children in the year 2028; and, eventually, for families with just one child – i.e., every family – in the year 2076.

Hopefully the law will be changed before then, of course. But as a rule of thumb, laws which become ridiculously damaging unless you actively intervene ought not be signed in the first place. Oops.

Children. Photograph: Getty Images

Alex Hern is a technology reporter for the Guardian. He was formerly staff writer at the New Statesman. You should follow Alex on Twitter.

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“Trembling, shaking / Oh, my heart is aching”: the EU out campaign song will give you chills

But not in a good way.

You know the story. Some old guys with vague dreams of empire want Britain to leave the European Union. They’ve been kicking up such a big fuss over the past few years that the government is letting the public decide.

And what is it that sways a largely politically indifferent electorate? Strikes hope in their hearts for a mildly less bureaucratic yet dangerously human rights-free future? An anthem, of course!

Originally by Carly You’re so Vain Simon, this is the song the Leave.EU campaign (Nigel Farage’s chosen group) has chosen. It is performed by the singer Antonia Suñer, for whom freedom from the technofederalists couldn’t come any suñer.

Here are the lyrics, of which your mole has done a close reading. But essentially it’s just nature imagery with fascist undertones and some heartburn.

"Let the river run

"Let all the dreamers

"Wake the nation.

"Come, the new Jerusalem."

Don’t use a river metaphor in anything political, unless you actively want to evoke Enoch Powell. Also, Jerusalem? That’s a bit... strong, isn’t it? Heavy connotations of being a little bit too Englandy.

"Silver cities rise,

"The morning lights,

"The streets that meet them,

"And sirens call them on

"With a song."

Sirens and streets. Doesn’t sound like a wholly un-authoritarian view of the UK’s EU-free future to me.

"It’s asking for the taking,

"Trembling, shaking,

"Oh, my heart is aching."

A reference to the elderly nature of many of the UK’s eurosceptics, perhaps?

"We’re coming to the edge,

"Running on the water,

"Coming through the fog,

"Your sons and daughters."

I feel like this is something to do with the hosepipe ban.

"We the great and small,

"Stand on a star,

"And blaze a trail of desire,

"Through the dark’ning dawn."

Everyone will have to speak this kind of English in the new Jerusalem, m'lady, oft with shorten’d words which will leave you feeling cringéd.

"It’s asking for the taking.

"Come run with me now,

"The sky is the colour of blue,

"You’ve never even seen,

"In the eyes of your lover."

I think this means: no one has ever loved anyone with the same colour eyes as the EU flag.

I'm a mole, innit.